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Finding the Fourth Proportional to 18,668.68, 27,999.76 and 6,820

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Solution

The fourth proportional to 18,668.68, 27,999.76 and 6,820 is: 10,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.68 : 27,999.76 = 6,820 : x
  2. Step 2: Convert to fraction form
    18,668.68/27,999.76 = 6,820/x
  3. Step 3: Cross multiply
    18,668.68x = 27,999.76 × 6,820
  4. Step 4: Simplify right side
    18,668.68x = 190,958,363.20
  5. Step 5: Solve for x
    x = 190,958,363.20/18,668.68
  6. Step 6: Final answer
    x = 10,228.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.